Math and Human Behavior

1. Math and Human Behavior Pre-May Seminar March 7, 2011

2. Axioms of Human Behavior • All are created equal

3. Axioms of Human Behavior • All are created equal • Knowledge and beliefs arise from senses

4. Axioms of Human Behavior • All are created equal • Knowledge and beliefs arise from senses • Behavior determined by enjoyment of pleasure, avoidance of pain

5. Axioms of Human Behavior • All are created equal • Knowledge and beliefs arise from senses • Behavior determined by enjoyment of pleasure, avoidance of pain • Human nature shaped by culture & environment

6. Axioms of Human Behavior • All are created equal • Knowledge and beliefs arise from senses • Behavior determined by enjoyment of pleasure, avoidance of pain • Human nature shaped by culture & environment • All act according to self interest

7. Jeremy Bentham (1748-1832) • A “codifying animal”

8. Jeremy Bentham (1748-1832) • A “codifying animal” • Luckless in romance

9. Jeremy Bentham (1748-1832) • A “codifying animal” • Luckless in romance • Anti church/state alliance

10. Jeremy Bentham (1748-1832) • A “codifying animal” • Luckless in romance • Anti church/state alliance • Anti monarchy

11. Jeremy Bentham (1748-1832) • A “codifying animal” • Luckless in romance • Anti church/state alliance • Anti monarchy • Anti packed juries

12. Jeremy Bentham (1748-1832) • A “codifying animal” • Luckless in romance • Anti church/state alliance • Anti monarchy • Anti packed juries

13. Jeremy Bentham (1748-1832) • A “codifying animal” • Luckless in romance • Anti church/state alliance • Anti monarchy • Anti packed juries • Maximize pleasure, minimize pain

14. Jeremy Bentham (1748-1832) • Moral Calculus • Cost-Benefit Analysis • Democracy and Universal Suffrage • Utilitarianism

15. John Locke (1632-1704) • Tabula Rasa • Rights • Social Contract • Limited Government

16. Declaration of Independence When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.

17. Declaration of Independence We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights,that among these are Life, Liberty and the pursuit of Happiness. That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, That whenever any Form of Government becomes destructive of these ends, it is the right of the people to alter or abolish it, and to institute new Government.

18. Thomas Malthus (1766-1834) Rates of Growth: Population vs. Production Geometric vs. Arithmetic

19. David Ricardo (1772-1823) • Supply and Demand

20. Raymond Pearl (1879-1940)and Lowell Reed (1886-1966) Rediscovery of Logistic Growth

21. John Graunt (1620-1674) and William Petty (1623-1687)

22. Lambert Adolphe Jacques Quetelet (1796 –1874)

23. Vilfredo Pareto (1848-1923) • Pareto Principle • Power Laws

24. Vilfredo Pareto (1848-1923) • Pareto Principle • Power Laws Distribution of World GDP, 1989

25. Francis Galton (1822-1911)